Quantcast
  • Register
PhysicsOverflow is a next-generation academic platform for physicists and astronomers, including a community peer review system and a postgraduate-level discussion forum analogous to MathOverflow.

Welcome to PhysicsOverflow! PhysicsOverflow is an open platform for community peer review and graduate-level Physics discussion.

Please help promote PhysicsOverflow ads elsewhere if you like it.

News

New printer friendly PO pages!

Migration to Bielefeld University was successful!

Please vote for this year's PhysicsOverflow ads!

Please do help out in categorising submissions. Submit a paper to PhysicsOverflow!

... see more

Tools for paper authors

Submit paper
Claim Paper Authorship

Tools for SE users

Search User
Reclaim SE Account
Request Account Merger
Nativise imported posts
Claim post (deleted users)
Import SE post

Users whose questions have been imported from Physics Stack Exchange, Theoretical Physics Stack Exchange, or any other Stack Exchange site are kindly requested to reclaim their account and not to register as a new user.

Public \(\beta\) tools

Report a bug with a feature
Request a new functionality
404 page design
Send feedback

Attributions

(propose a free ad)

Site Statistics

146 submissions , 123 unreviewed
3,953 questions , 1,403 unanswered
4,889 answers , 20,762 comments
1,470 users with positive rep
507 active unimported users
More ...

How does the geometry of tensor network depend on choice of logical state?

+ 4 like - 0 dislike
89 views

I  am currently studying tensor networks, constructed from perfect tensors, introduced in article http://arxiv.org/abs/1503.06237

I would like to consider tensor network, which is  holographic code. So as a setup we have some particular state on the boundary, state in the bulk(logical state)  and tensor network which realizes  map between two corresponding Hilbert spaces. 

I believe that for different bulk states one should obtain different geometries of corresponding tensor networks. (I am particularly interested in considering vacuum and thermal CFT on the boundary)

I am trying to check this fact by means of calculating  length of geodesic which corresponds to some region on the boundary.

 My problem is that (according to my understanding) algorithm introduced in the aforementioned article gives the same result for all cases.  According to it length of geodesic is a function only of number of cutted inplane lines along curve and their dimensionality.

Lengths of these geodesics can't be the same because these two tensor networks correspond to different geometries of the bulk.

asked Mar 16, 2016 in Theoretical Physics by Yaroslav (20 points) [ revision history ]
recategorized Mar 21, 2016 by Arnold Neumaier

Your answer

Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead.
To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL.
Please consult the FAQ for as to how to format your post.
This is the answer box; if you want to write a comment instead, please use the 'add comment' button.
Live preview (may slow down editor)   Preview
Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:
p$\hbar$ysicsOverfl$\varnothing$w
Then drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds).
To avoid this verification in future, please log in or register.




user contributions licensed under cc by-sa 3.0 with attribution required

Your rights
...